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Finding the Third Proportional to 214,622.75 and 446,909.25

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Solution

The third proportional to 214,622.75 and 446,909.25 is: 930,599.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,622.75 : 446,909.25 = 446,909.25 : x
  2. Step 2: Convert to fraction form
    214,622.75/446,909.25 = 446,909.25/x
  3. Step 3: Cross multiply
    214,622.75x = 446,909.25 × 446,909.25
  4. Step 4: Simplify right side
    214,622.75x = 199,727,877,735.56
  5. Step 5: Solve for x
    x = 199,727,877,735.56/214,622.75
  6. Step 6: Final answer
    x = 930,599.75

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.